Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
194 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14271515 | C2 | semidirect |
| 3. #14271459 | C2 | semidirect |
| 5. #14270893 | C2 | semidirect |
| 7. C29×#332 | C2 | semidirect |
| 87. #332 | D29 | semidirect |
| 111. C29 | #1638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271887 | 2 |
| #14271515 | 2 |
| #14271459 | 2 |
| #14271454 | 2 |
| #14270893 | 2 |
| #14270890 | 2 |
| C29×#332 | 2 |
| #1638 | 29 |